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Notes on the Eigensystem of Ideal MHD Equations

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Published:18 February 2017Publication History

ABSTRACT

The eight wave non-conservative form of three-dimensional ideal MHD equations is used to study the degeneracies of the eigensystem. A set of eigenvectors associated with the system of equations are developed in various limiting cases. A two-dimensional blunt body configuration problem is investigated in different magnetic fields using the revised eigenvectors based on these degeneracies. The numerical scheme applied is LU-SGS integration scheme with the Davis-Yee second-order upwind TVD model. The numerical results indicate that the revision based on degenerate cases contributes to a more accurate flow field, and enhances the robustness of the numerical scheme.

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  • Published in

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    ICCAE '17: Proceedings of the 9th International Conference on Computer and Automation Engineering
    February 2017
    365 pages
    ISBN:9781450348096
    DOI:10.1145/3057039

    Copyright © 2017 ACM

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    • Published: 18 February 2017

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